105037685781657 has 8 divisors (see below), whose sum is σ = 148288497574176. Its totient is φ = 65905998921792.

The previous prime is 105037685781653. The next prime is 105037685781697. The reversal of 105037685781657 is 756187586730501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105037685781657 - 2² = 105037685781653 is a prime.

It is a super-2 number, since 2×105037685781657² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105037685781591 and 105037685781600.

It is not an unprimeable number, because it can be changed into a prime (105037685781653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029781233103 + ... + 1029781233204.

It is an arithmetic number, because the mean of its divisors is an integer number (18536062196772).

Almost surely, 2^{105037685781657} is an apocalyptic number.

105037685781657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105037685781657 is a deficient number, since it is larger than the sum of its proper divisors (43250811792519).

105037685781657 is a wasteful number, since it uses less digits than its factorization.

105037685781657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059562466327.

The product of its (nonzero) digits is 296352000, while the sum is 69.

The spelling of 105037685781657 in words is "one hundred five trillion, thirty-seven billion, six hundred eighty-five million, seven hundred eighty-one thousand, six hundred fifty-seven".